234433202334432 has 48 divisors (see below), whose sum is σ = 642143119443840. Its totient is φ = 74746818134912.

The previous prime is 234433202334377. The next prime is 234433202334481.

234433202334432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53087226582 + ... + 53087230997.

It is an arithmetic number, because the mean of its divisors is an integer number (13377981655080).

Almost surely, 2^{234433202334432} is an apocalyptic number.

It is an amenable number.

234433202334432 is an abundant number, since it is smaller than the sum of its proper divisors (407709917109408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234433202334432 is a wasteful number, since it uses less digits than its factorization.

234433202334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106174457615 (or 106174457607 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 42.

It can be divided in two parts, 23443320 and 2334432, that added together give a palindrome (25777752).

The spelling of 234433202334432 in words is "two hundred thirty-four trillion, four hundred thirty-three billion, two hundred two million, three hundred thirty-four thousand, four hundred thirty-two".